Finding the Third Proportional to 69,298 and 148,074

Step by Step Solution

1. Step 1: Write the proportion equation
   69,298 : 148,074 = 148,074 : x
2. Step 2: Convert to fraction form
   69,298/148,074 = 148,074/x
3. Step 3: Cross multiply
   69,298x = 148,074 × 148,074
4. Step 4: Simplify right side
   69,298x = 21,925,909,476
5. Step 5: Solve for x
   x = 21,925,909,476/69,298
6. Step 6: Final answer
   x = 316,400.32