Finding the Third Proportional to 71,139 and 152,646

Step by Step Solution

1. Step 1: Write the proportion equation
   71,139 : 152,646 = 152,646 : x
2. Step 2: Convert to fraction form
   71,139/152,646 = 152,646/x
3. Step 3: Cross multiply
   71,139x = 152,646 × 152,646
4. Step 4: Simplify right side
   71,139x = 23,300,801,316
5. Step 5: Solve for x
   x = 23,300,801,316/71,139
6. Step 6: Final answer
   x = 327,539.06