Finding the Third Proportional to 137,946 and 295,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,946 : 295,570.50 = 295,570.50 : x
2. Step 2: Convert to fraction form
   137,946/295,570.50 = 295,570.50/x
3. Step 3: Cross multiply
   137,946x = 295,570.50 × 295,570.50
4. Step 4: Simplify right side
   137,946x = 87,361,920,470.25
5. Step 5: Solve for x
   x = 87,361,920,470.25/137,946
6. Step 6: Final answer
   x = 633,305.21