Finding the Third Proportional to 138,912 and 298,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,912 : 298,534.50 = 298,534.50 : x
2. Step 2: Convert to fraction form
   138,912/298,534.50 = 298,534.50/x
3. Step 3: Cross multiply
   138,912x = 298,534.50 × 298,534.50
4. Step 4: Simplify right side
   138,912x = 89,122,847,690.25
5. Step 5: Solve for x
   x = 89,122,847,690.25/138,912
6. Step 6: Final answer
   x = 641,577.74