Finding the Third Proportional to 137,624 and 291,786

Step by Step Solution

1. Step 1: Write the proportion equation
   137,624 : 291,786 = 291,786 : x
2. Step 2: Convert to fraction form
   137,624/291,786 = 291,786/x
3. Step 3: Cross multiply
   137,624x = 291,786 × 291,786
4. Step 4: Simplify right side
   137,624x = 85,139,069,796
5. Step 5: Solve for x
   x = 85,139,069,796/137,624
6. Step 6: Final answer
   x = 618,635.34