Finding the Third Proportional to 136,656 and 191,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,656 : 191,092.50 = 191,092.50 : x
2. Step 2: Convert to fraction form
   136,656/191,092.50 = 191,092.50/x
3. Step 3: Cross multiply
   136,656x = 191,092.50 × 191,092.50
4. Step 4: Simplify right side
   136,656x = 36,516,343,556.25
5. Step 5: Solve for x
   x = 36,516,343,556.25/136,656
6. Step 6: Final answer
   x = 267,213.61