Finding the Third Proportional to 38,427,145.50 and 83,677,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,427,145.50 : 83,677,234.50 = 83,677,234.50 : x
2. Step 2: Convert to fraction form
   38,427,145.50/83,677,234.50 = 83,677,234.50/x
3. Step 3: Cross multiply
   38,427,145.50x = 83,677,234.50 × 83,677,234.50
4. Step 4: Simplify right side
   38,427,145.50x = 7,001,879,573,567,990
5. Step 5: Solve for x
   x = 7,001,879,573,567,990/38,427,145.50
6. Step 6: Final answer
   x = 182,211,805.81