Finding the Third Proportional to 61,585.50 and 132,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,585.50 : 132,784.50 = 132,784.50 : x
2. Step 2: Convert to fraction form
   61,585.50/132,784.50 = 132,784.50/x
3. Step 3: Cross multiply
   61,585.50x = 132,784.50 × 132,784.50
4. Step 4: Simplify right side
   61,585.50x = 17,631,723,440.25
5. Step 5: Solve for x
   x = 17,631,723,440.25/61,585.50
6. Step 6: Final answer
   x = 286,296.67