Finding the Third Proportional to 98,376 and 217,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,376 : 217,426.50 = 217,426.50 : x
2. Step 2: Convert to fraction form
   98,376/217,426.50 = 217,426.50/x
3. Step 3: Cross multiply
   98,376x = 217,426.50 × 217,426.50
4. Step 4: Simplify right side
   98,376x = 47,274,282,902.25
5. Step 5: Solve for x
   x = 47,274,282,902.25/98,376
6. Step 6: Final answer
   x = 480,546.91