Finding the Third Proportional to 91,881 and 138,359.25

Step by Step Solution

1. Step 1: Write the proportion equation
   91,881 : 138,359.25 = 138,359.25 : x
2. Step 2: Convert to fraction form
   91,881/138,359.25 = 138,359.25/x
3. Step 3: Cross multiply
   91,881x = 138,359.25 × 138,359.25
4. Step 4: Simplify right side
   91,881x = 19,143,282,060.56
5. Step 5: Solve for x
   x = 19,143,282,060.56/91,881
6. Step 6: Final answer
   x = 208,348.65