Finding the Third Proportional to 148,152 and 319,470

Step by Step Solution

1. Step 1: Write the proportion equation
   148,152 : 319,470 = 319,470 : x
2. Step 2: Convert to fraction form
   148,152/319,470 = 319,470/x
3. Step 3: Cross multiply
   148,152x = 319,470 × 319,470
4. Step 4: Simplify right side
   148,152x = 102,061,080,900
5. Step 5: Solve for x
   x = 102,061,080,900/148,152
6. Step 6: Final answer
   x = 688,894.38