Finding the Third Proportional to 83,552 and 173,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,552 : 173,989.50 = 173,989.50 : x
2. Step 2: Convert to fraction form
   83,552/173,989.50 = 173,989.50/x
3. Step 3: Cross multiply
   83,552x = 173,989.50 × 173,989.50
4. Step 4: Simplify right side
   83,552x = 30,272,346,110.25
5. Step 5: Solve for x
   x = 30,272,346,110.25/83,552
6. Step 6: Final answer
   x = 362,317.43