Finding the Third Proportional to 100,947 and 156,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,947 : 156,746.50 = 156,746.50 : x
2. Step 2: Convert to fraction form
   100,947/156,746.50 = 156,746.50/x
3. Step 3: Cross multiply
   100,947x = 156,746.50 × 156,746.50
4. Step 4: Simplify right side
   100,947x = 24,569,465,262.25
5. Step 5: Solve for x
   x = 24,569,465,262.25/100,947
6. Step 6: Final answer
   x = 243,389.75