Finding the Third Proportional to 106,822.50 and 152,655

Step by Step Solution

1. Step 1: Write the proportion equation
   106,822.50 : 152,655 = 152,655 : x
2. Step 2: Convert to fraction form
   106,822.50/152,655 = 152,655/x
3. Step 3: Cross multiply
   106,822.50x = 152,655 × 152,655
4. Step 4: Simplify right side
   106,822.50x = 23,303,549,025
5. Step 5: Solve for x
   x = 23,303,549,025/106,822.50
6. Step 6: Final answer
   x = 218,152.07