Finding the Third Proportional to 137,412 and 291,672

Step by Step Solution

1. Step 1: Write the proportion equation
   137,412 : 291,672 = 291,672 : x
2. Step 2: Convert to fraction form
   137,412/291,672 = 291,672/x
3. Step 3: Cross multiply
   137,412x = 291,672 × 291,672
4. Step 4: Simplify right side
   137,412x = 85,072,555,584
5. Step 5: Solve for x
   x = 85,072,555,584/137,412
6. Step 6: Final answer
   x = 619,105.72