Finding the Third Proportional to 91,308 and 185,127

Step by Step Solution

1. Step 1: Write the proportion equation
   91,308 : 185,127 = 185,127 : x
2. Step 2: Convert to fraction form
   91,308/185,127 = 185,127/x
3. Step 3: Cross multiply
   91,308x = 185,127 × 185,127
4. Step 4: Simplify right side
   91,308x = 34,272,006,129
5. Step 5: Solve for x
   x = 34,272,006,129/91,308
6. Step 6: Final answer
   x = 375,345.05