Finding the Third Proportional to 88,506 and 191,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,506 : 191,146.50 = 191,146.50 : x
2. Step 2: Convert to fraction form
   88,506/191,146.50 = 191,146.50/x
3. Step 3: Cross multiply
   88,506x = 191,146.50 × 191,146.50
4. Step 4: Simplify right side
   88,506x = 36,536,984,462.25
5. Step 5: Solve for x
   x = 36,536,984,462.25/88,506
6. Step 6: Final answer
   x = 412,819.29