Finding the Third Proportional to 49,225.50 and 100,527

Step by Step Solution

1. Step 1: Write the proportion equation
   49,225.50 : 100,527 = 100,527 : x
2. Step 2: Convert to fraction form
   49,225.50/100,527 = 100,527/x
3. Step 3: Cross multiply
   49,225.50x = 100,527 × 100,527
4. Step 4: Simplify right side
   49,225.50x = 10,105,677,729
5. Step 5: Solve for x
   x = 10,105,677,729/49,225.50
6. Step 6: Final answer
   x = 205,293.55