Finding the Third Proportional to 120,187.50 and 178,428

Step by Step Solution

1. Step 1: Write the proportion equation
   120,187.50 : 178,428 = 178,428 : x
2. Step 2: Convert to fraction form
   120,187.50/178,428 = 178,428/x
3. Step 3: Cross multiply
   120,187.50x = 178,428 × 178,428
4. Step 4: Simplify right side
   120,187.50x = 31,836,551,184
5. Step 5: Solve for x
   x = 31,836,551,184/120,187.50
6. Step 6: Final answer
   x = 264,890.70