Finding the Third Proportional to 97,665 and 146,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,665 : 146,470.50 = 146,470.50 : x
2. Step 2: Convert to fraction form
   97,665/146,470.50 = 146,470.50/x
3. Step 3: Cross multiply
   97,665x = 146,470.50 × 146,470.50
4. Step 4: Simplify right side
   97,665x = 21,453,607,370.25
5. Step 5: Solve for x
   x = 21,453,607,370.25/97,665
6. Step 6: Final answer
   x = 219,665.26