Finding the Third Proportional to 97,422 and 146,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,422 : 146,776.50 = 146,776.50 : x
2. Step 2: Convert to fraction form
   97,422/146,776.50 = 146,776.50/x
3. Step 3: Cross multiply
   97,422x = 146,776.50 × 146,776.50
4. Step 4: Simplify right side
   97,422x = 21,543,340,952.25
5. Step 5: Solve for x
   x = 21,543,340,952.25/97,422
6. Step 6: Final answer
   x = 221,134.25