Finding the Third Proportional to 61,356 and 129,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,356 : 129,784.50 = 129,784.50 : x
2. Step 2: Convert to fraction form
   61,356/129,784.50 = 129,784.50/x
3. Step 3: Cross multiply
   61,356x = 129,784.50 × 129,784.50
4. Step 4: Simplify right side
   61,356x = 16,844,016,440.25
5. Step 5: Solve for x
   x = 16,844,016,440.25/61,356
6. Step 6: Final answer
   x = 274,529.25