Finding the Third Proportional to 138,706.50 and 298,464

Step by Step Solution

1. Step 1: Write the proportion equation
   138,706.50 : 298,464 = 298,464 : x
2. Step 2: Convert to fraction form
   138,706.50/298,464 = 298,464/x
3. Step 3: Cross multiply
   138,706.50x = 298,464 × 298,464
4. Step 4: Simplify right side
   138,706.50x = 89,080,759,296
5. Step 5: Solve for x
   x = 89,080,759,296/138,706.50
6. Step 6: Final answer
   x = 642,224.84