Finding the Third Proportional to 148,300 and 349,746

Step by Step Solution

1. Step 1: Write the proportion equation
   148,300 : 349,746 = 349,746 : x
2. Step 2: Convert to fraction form
   148,300/349,746 = 349,746/x
3. Step 3: Cross multiply
   148,300x = 349,746 × 349,746
4. Step 4: Simplify right side
   148,300x = 122,322,264,516
5. Step 5: Solve for x
   x = 122,322,264,516/148,300
6. Step 6: Final answer
   x = 824,829.83