Finding the Third Proportional to 103,686 and 152,127

Step by Step Solution

1. Step 1: Write the proportion equation
   103,686 : 152,127 = 152,127 : x
2. Step 2: Convert to fraction form
   103,686/152,127 = 152,127/x
3. Step 3: Cross multiply
   103,686x = 152,127 × 152,127
4. Step 4: Simplify right side
   103,686x = 23,142,624,129
5. Step 5: Solve for x
   x = 23,142,624,129/103,686
6. Step 6: Final answer
   x = 223,199.12