Finding the Third Proportional to 98,834 and 212,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,834 : 212,677.50 = 212,677.50 : x
2. Step 2: Convert to fraction form
   98,834/212,677.50 = 212,677.50/x
3. Step 3: Cross multiply
   98,834x = 212,677.50 × 212,677.50
4. Step 4: Simplify right side
   98,834x = 45,231,719,006.25
5. Step 5: Solve for x
   x = 45,231,719,006.25/98,834
6. Step 6: Final answer
   x = 457,653.43