Finding the Third Proportional to 98,691 and 217,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,691 : 217,063.50 = 217,063.50 : x
2. Step 2: Convert to fraction form
   98,691/217,063.50 = 217,063.50/x
3. Step 3: Cross multiply
   98,691x = 217,063.50 × 217,063.50
4. Step 4: Simplify right side
   98,691x = 47,116,563,032.25
5. Step 5: Solve for x
   x = 47,116,563,032.25/98,691
6. Step 6: Final answer
   x = 477,414.99