Finding the Third Proportional to 147,780 and 234,045

Step by Step Solution

1. Step 1: Write the proportion equation
   147,780 : 234,045 = 234,045 : x
2. Step 2: Convert to fraction form
   147,780/234,045 = 234,045/x
3. Step 3: Cross multiply
   147,780x = 234,045 × 234,045
4. Step 4: Simplify right side
   147,780x = 54,777,062,025
5. Step 5: Solve for x
   x = 54,777,062,025/147,780
6. Step 6: Final answer
   x = 370,666.27