Finding the Third Proportional to 74,772 and 106,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,772 : 106,648.50 = 106,648.50 : x
2. Step 2: Convert to fraction form
   74,772/106,648.50 = 106,648.50/x
3. Step 3: Cross multiply
   74,772x = 106,648.50 × 106,648.50
4. Step 4: Simplify right side
   74,772x = 11,373,902,552.25
5. Step 5: Solve for x
   x = 11,373,902,552.25/74,772
6. Step 6: Final answer
   x = 152,114.46