Finding the Third Proportional to 101,757 and 149,586.56

Step by Step Solution

1. Step 1: Write the proportion equation
   101,757 : 149,586.56 = 149,586.56 : x
2. Step 2: Convert to fraction form
   101,757/149,586.56 = 149,586.56/x
3. Step 3: Cross multiply
   101,757x = 149,586.56 × 149,586.56
4. Step 4: Simplify right side
   101,757x = 22,376,139,680.57
5. Step 5: Solve for x
   x = 22,376,139,680.57/101,757
6. Step 6: Final answer
   x = 219,897.79