Finding the Third Proportional to 92,106 and 138,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,106 : 138,500.50 = 138,500.50 : x
2. Step 2: Convert to fraction form
   92,106/138,500.50 = 138,500.50/x
3. Step 3: Cross multiply
   92,106x = 138,500.50 × 138,500.50
4. Step 4: Simplify right side
   92,106x = 19,182,388,500.25
5. Step 5: Solve for x
   x = 19,182,388,500.25/92,106
6. Step 6: Final answer
   x = 208,264.27