Finding the Third Proportional to 103,947 and 152,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,947 : 152,032.50 = 152,032.50 : x
2. Step 2: Convert to fraction form
   103,947/152,032.50 = 152,032.50/x
3. Step 3: Cross multiply
   103,947x = 152,032.50 × 152,032.50
4. Step 4: Simplify right side
   103,947x = 23,113,881,056.25
5. Step 5: Solve for x
   x = 23,113,881,056.25/103,947
6. Step 6: Final answer
   x = 222,362.18