Finding the Third Proportional to 91,880.50 and 138,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,880.50 : 138,356.50 = 138,356.50 : x
2. Step 2: Convert to fraction form
   91,880.50/138,356.50 = 138,356.50/x
3. Step 3: Cross multiply
   91,880.50x = 138,356.50 × 138,356.50
4. Step 4: Simplify right side
   91,880.50x = 19,142,521,092.25
5. Step 5: Solve for x
   x = 19,142,521,092.25/91,880.50
6. Step 6: Final answer
   x = 208,341.50