Finding the Third Proportional to 97,096.50 and 216,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,096.50 : 216,787.50 = 216,787.50 : x
2. Step 2: Convert to fraction form
   97,096.50/216,787.50 = 216,787.50/x
3. Step 3: Cross multiply
   97,096.50x = 216,787.50 × 216,787.50
4. Step 4: Simplify right side
   97,096.50x = 46,996,820,156.25
5. Step 5: Solve for x
   x = 46,996,820,156.25/97,096.50
6. Step 6: Final answer
   x = 484,021.77