Finding the Third Proportional to 61,657 and 134,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,657 : 134,727.50 = 134,727.50 : x
2. Step 2: Convert to fraction form
   61,657/134,727.50 = 134,727.50/x
3. Step 3: Cross multiply
   61,657x = 134,727.50 × 134,727.50
4. Step 4: Simplify right side
   61,657x = 18,151,499,256.25
5. Step 5: Solve for x
   x = 18,151,499,256.25/61,657
6. Step 6: Final answer
   x = 294,394.78