Finding the Third Proportional to 147,597 and 207,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,597 : 207,112.50 = 207,112.50 : x
2. Step 2: Convert to fraction form
   147,597/207,112.50 = 207,112.50/x
3. Step 3: Cross multiply
   147,597x = 207,112.50 × 207,112.50
4. Step 4: Simplify right side
   147,597x = 42,895,587,656.25
5. Step 5: Solve for x
   x = 42,895,587,656.25/147,597
6. Step 6: Final answer
   x = 290,626.42