Finding the Third Proportional to 138,796.50 and 298,641

Step by Step Solution

1. Step 1: Write the proportion equation
   138,796.50 : 298,641 = 298,641 : x
2. Step 2: Convert to fraction form
   138,796.50/298,641 = 298,641/x
3. Step 3: Cross multiply
   138,796.50x = 298,641 × 298,641
4. Step 4: Simplify right side
   138,796.50x = 89,186,446,881
5. Step 5: Solve for x
   x = 89,186,446,881/138,796.50
6. Step 6: Final answer
   x = 642,569.86