Finding the Third Proportional to 61,507 and 132,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,507 : 132,666.50 = 132,666.50 : x
2. Step 2: Convert to fraction form
   61,507/132,666.50 = 132,666.50/x
3. Step 3: Cross multiply
   61,507x = 132,666.50 × 132,666.50
4. Step 4: Simplify right side
   61,507x = 17,600,400,222.25
5. Step 5: Solve for x
   x = 17,600,400,222.25/61,507
6. Step 6: Final answer
   x = 286,152.80