Finding the Third Proportional to 103,677 and 152,205

Step by Step Solution

1. Step 1: Write the proportion equation
   103,677 : 152,205 = 152,205 : x
2. Step 2: Convert to fraction form
   103,677/152,205 = 152,205/x
3. Step 3: Cross multiply
   103,677x = 152,205 × 152,205
4. Step 4: Simplify right side
   103,677x = 23,166,362,025
5. Step 5: Solve for x
   x = 23,166,362,025/103,677
6. Step 6: Final answer
   x = 223,447.46