Finding the Third Proportional to 133,627.50 and 196,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,627.50 : 196,066.50 = 196,066.50 : x
2. Step 2: Convert to fraction form
   133,627.50/196,066.50 = 196,066.50/x
3. Step 3: Cross multiply
   133,627.50x = 196,066.50 × 196,066.50
4. Step 4: Simplify right side
   133,627.50x = 38,442,072,422.25
5. Step 5: Solve for x
   x = 38,442,072,422.25/133,627.50
6. Step 6: Final answer
   x = 287,680.85