Finding the Third Proportional to 261,148 and 390,732

Step by Step Solution

1. Step 1: Write the proportion equation
   261,148 : 390,732 = 390,732 : x
2. Step 2: Convert to fraction form
   261,148/390,732 = 390,732/x
3. Step 3: Cross multiply
   261,148x = 390,732 × 390,732
4. Step 4: Simplify right side
   261,148x = 152,671,495,824
5. Step 5: Solve for x
   x = 152,671,495,824/261,148
6. Step 6: Final answer
   x = 584,616.75