Finding the Third Proportional to 101,746.50 and 149,574

Step by Step Solution

1. Step 1: Write the proportion equation
   101,746.50 : 149,574 = 149,574 : x
2. Step 2: Convert to fraction form
   101,746.50/149,574 = 149,574/x
3. Step 3: Cross multiply
   101,746.50x = 149,574 × 149,574
4. Step 4: Simplify right side
   101,746.50x = 22,372,381,476
5. Step 5: Solve for x
   x = 22,372,381,476/101,746.50
6. Step 6: Final answer
   x = 219,883.55