Finding the Third Proportional to 103,633 and 152,047

Step by Step Solution

1. Step 1: Write the proportion equation
   103,633 : 152,047 = 152,047 : x
2. Step 2: Convert to fraction form
   103,633/152,047 = 152,047/x
3. Step 3: Cross multiply
   103,633x = 152,047 × 152,047
4. Step 4: Simplify right side
   103,633x = 23,118,290,209
5. Step 5: Solve for x
   x = 23,118,290,209/103,633
6. Step 6: Final answer
   x = 223,078.46