Finding the Third Proportional to 136,872 and 292,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,872 : 292,659.50 = 292,659.50 : x
2. Step 2: Convert to fraction form
   136,872/292,659.50 = 292,659.50/x
3. Step 3: Cross multiply
   136,872x = 292,659.50 × 292,659.50
4. Step 4: Simplify right side
   136,872x = 85,649,582,940.25
5. Step 5: Solve for x
   x = 85,649,582,940.25/136,872
6. Step 6: Final answer
   x = 625,764.09