Finding the Third Proportional to 186,586.50 and 402,333

Step by Step Solution

1. Step 1: Write the proportion equation
   186,586.50 : 402,333 = 402,333 : x
2. Step 2: Convert to fraction form
   186,586.50/402,333 = 402,333/x
3. Step 3: Cross multiply
   186,586.50x = 402,333 × 402,333
4. Step 4: Simplify right side
   186,586.50x = 161,871,842,889
5. Step 5: Solve for x
   x = 161,871,842,889/186,586.50
6. Step 6: Final answer
   x = 867,543.17