Finding the Third Proportional to 104,424 and 152,862

Step by Step Solution

1. Step 1: Write the proportion equation
   104,424 : 152,862 = 152,862 : x
2. Step 2: Convert to fraction form
   104,424/152,862 = 152,862/x
3. Step 3: Cross multiply
   104,424x = 152,862 × 152,862
4. Step 4: Simplify right side
   104,424x = 23,366,791,044
5. Step 5: Solve for x
   x = 23,366,791,044/104,424
6. Step 6: Final answer
   x = 223,768.40