Finding the Third Proportional to 97,962.50 and 146,564

Step by Step Solution

1. Step 1: Write the proportion equation
   97,962.50 : 146,564 = 146,564 : x
2. Step 2: Convert to fraction form
   97,962.50/146,564 = 146,564/x
3. Step 3: Cross multiply
   97,962.50x = 146,564 × 146,564
4. Step 4: Simplify right side
   97,962.50x = 21,481,006,096
5. Step 5: Solve for x
   x = 21,481,006,096/97,962.50
6. Step 6: Final answer
   x = 219,277.85