Finding the Third Proportional to 106,947 and 149,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,947 : 149,527.50 = 149,527.50 : x
2. Step 2: Convert to fraction form
   106,947/149,527.50 = 149,527.50/x
3. Step 3: Cross multiply
   106,947x = 149,527.50 × 149,527.50
4. Step 4: Simplify right side
   106,947x = 22,358,473,256.25
5. Step 5: Solve for x
   x = 22,358,473,256.25/106,947
6. Step 6: Final answer
   x = 209,061.25