Finding the Third Proportional to 184,555 and 402,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,555 : 402,463.50 = 402,463.50 : x
2. Step 2: Convert to fraction form
   184,555/402,463.50 = 402,463.50/x
3. Step 3: Cross multiply
   184,555x = 402,463.50 × 402,463.50
4. Step 4: Simplify right side
   184,555x = 161,976,868,832.25
5. Step 5: Solve for x
   x = 161,976,868,832.25/184,555
6. Step 6: Final answer
   x = 877,661.77