Finding the Third Proportional to 137,181 and 299,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,181 : 299,498.50 = 299,498.50 : x
2. Step 2: Convert to fraction form
   137,181/299,498.50 = 299,498.50/x
3. Step 3: Cross multiply
   137,181x = 299,498.50 × 299,498.50
4. Step 4: Simplify right side
   137,181x = 89,699,351,502.25
5. Step 5: Solve for x
   x = 89,699,351,502.25/137,181
6. Step 6: Final answer
   x = 653,875.91