Finding the Third Proportional to 101,478 and 157,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,478 : 157,738.50 = 157,738.50 : x
2. Step 2: Convert to fraction form
   101,478/157,738.50 = 157,738.50/x
3. Step 3: Cross multiply
   101,478x = 157,738.50 × 157,738.50
4. Step 4: Simplify right side
   101,478x = 24,881,434,382.25
5. Step 5: Solve for x
   x = 24,881,434,382.25/101,478
6. Step 6: Final answer
   x = 245,190.43