Finding the Third Proportional to 110,973 and 157,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,973 : 157,024.50 = 157,024.50 : x
2. Step 2: Convert to fraction form
   110,973/157,024.50 = 157,024.50/x
3. Step 3: Cross multiply
   110,973x = 157,024.50 × 157,024.50
4. Step 4: Simplify right side
   110,973x = 24,656,693,600.25
5. Step 5: Solve for x
   x = 24,656,693,600.25/110,973
6. Step 6: Final answer
   x = 222,186.42