Finding the Third Proportional to 138,603 and 291,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,603 : 291,694.50 = 291,694.50 : x
2. Step 2: Convert to fraction form
   138,603/291,694.50 = 291,694.50/x
3. Step 3: Cross multiply
   138,603x = 291,694.50 × 291,694.50
4. Step 4: Simplify right side
   138,603x = 85,085,681,330.25
5. Step 5: Solve for x
   x = 85,085,681,330.25/138,603
6. Step 6: Final answer
   x = 613,880.52