Finding the Third Proportional to 38,234.25 and 79,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,234.25 : 79,156.50 = 79,156.50 : x
2. Step 2: Convert to fraction form
   38,234.25/79,156.50 = 79,156.50/x
3. Step 3: Cross multiply
   38,234.25x = 79,156.50 × 79,156.50
4. Step 4: Simplify right side
   38,234.25x = 6,265,751,492.25
5. Step 5: Solve for x
   x = 6,265,751,492.25/38,234.25
6. Step 6: Final answer
   x = 163,877.98