Finding the Third Proportional to 185,979 and 405,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,979 : 405,127.50 = 405,127.50 : x
2. Step 2: Convert to fraction form
   185,979/405,127.50 = 405,127.50/x
3. Step 3: Cross multiply
   185,979x = 405,127.50 × 405,127.50
4. Step 4: Simplify right side
   185,979x = 164,128,291,256.25
5. Step 5: Solve for x
   x = 164,128,291,256.25/185,979
6. Step 6: Final answer
   x = 882,509.81