Finding the Third Proportional to 148,920 and 302,160

Step by Step Solution

1. Step 1: Write the proportion equation
   148,920 : 302,160 = 302,160 : x
2. Step 2: Convert to fraction form
   148,920/302,160 = 302,160/x
3. Step 3: Cross multiply
   148,920x = 302,160 × 302,160
4. Step 4: Simplify right side
   148,920x = 91,300,665,600
5. Step 5: Solve for x
   x = 91,300,665,600/148,920
6. Step 6: Final answer
   x = 613,085.32