Finding the Third Proportional to 137,697 and 291,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,697 : 291,937.50 = 291,937.50 : x
2. Step 2: Convert to fraction form
   137,697/291,937.50 = 291,937.50/x
3. Step 3: Cross multiply
   137,697x = 291,937.50 × 291,937.50
4. Step 4: Simplify right side
   137,697x = 85,227,503,906.25
5. Step 5: Solve for x
   x = 85,227,503,906.25/137,697
6. Step 6: Final answer
   x = 618,949.61