Finding the Third Proportional to 85,532.50 and 123,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,532.50 : 123,206.50 = 123,206.50 : x
2. Step 2: Convert to fraction form
   85,532.50/123,206.50 = 123,206.50/x
3. Step 3: Cross multiply
   85,532.50x = 123,206.50 × 123,206.50
4. Step 4: Simplify right side
   85,532.50x = 15,179,841,642.25
5. Step 5: Solve for x
   x = 15,179,841,642.25/85,532.50
6. Step 6: Final answer
   x = 177,474.55