Finding the Third Proportional to 100,047 and 152,611.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,047 : 152,611.50 = 152,611.50 : x
2. Step 2: Convert to fraction form
   100,047/152,611.50 = 152,611.50/x
3. Step 3: Cross multiply
   100,047x = 152,611.50 × 152,611.50
4. Step 4: Simplify right side
   100,047x = 23,290,269,932.25
5. Step 5: Solve for x
   x = 23,290,269,932.25/100,047
6. Step 6: Final answer
   x = 232,793.29