Finding the Third Proportional to 54,594 and 86,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,594 : 86,809.50 = 86,809.50 : x
2. Step 2: Convert to fraction form
   54,594/86,809.50 = 86,809.50/x
3. Step 3: Cross multiply
   54,594x = 86,809.50 × 86,809.50
4. Step 4: Simplify right side
   54,594x = 7,535,889,290.25
5. Step 5: Solve for x
   x = 7,535,889,290.25/54,594
6. Step 6: Final answer
   x = 138,035.12