Finding the Third Proportional to 185,011.50 and 401,127

Step by Step Solution

1. Step 1: Write the proportion equation
   185,011.50 : 401,127 = 401,127 : x
2. Step 2: Convert to fraction form
   185,011.50/401,127 = 401,127/x
3. Step 3: Cross multiply
   185,011.50x = 401,127 × 401,127
4. Step 4: Simplify right side
   185,011.50x = 160,902,870,129
5. Step 5: Solve for x
   x = 160,902,870,129/185,011.50
6. Step 6: Final answer
   x = 869,691.18