Finding the Third Proportional to 100,947 and 147,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,947 : 147,748.50 = 147,748.50 : x
2. Step 2: Convert to fraction form
   100,947/147,748.50 = 147,748.50/x
3. Step 3: Cross multiply
   100,947x = 147,748.50 × 147,748.50
4. Step 4: Simplify right side
   100,947x = 21,829,619,252.25
5. Step 5: Solve for x
   x = 21,829,619,252.25/100,947
6. Step 6: Final answer
   x = 216,248.32