Finding the Third Proportional to 97,643 and 146,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,643 : 146,464.50 = 146,464.50 : x
2. Step 2: Convert to fraction form
   97,643/146,464.50 = 146,464.50/x
3. Step 3: Cross multiply
   97,643x = 146,464.50 × 146,464.50
4. Step 4: Simplify right side
   97,643x = 21,451,849,760.25
5. Step 5: Solve for x
   x = 21,451,849,760.25/97,643
6. Step 6: Final answer
   x = 219,696.75