Finding the Third Proportional to 137,019.50 and 298,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,019.50 : 298,875.50 = 298,875.50 : x
2. Step 2: Convert to fraction form
   137,019.50/298,875.50 = 298,875.50/x
3. Step 3: Cross multiply
   137,019.50x = 298,875.50 × 298,875.50
4. Step 4: Simplify right side
   137,019.50x = 89,326,564,500.25
5. Step 5: Solve for x
   x = 89,326,564,500.25/137,019.50
6. Step 6: Final answer
   x = 651,925.93