Finding the Third Proportional to 175,894.50 and 379,158

Step by Step Solution

1. Step 1: Write the proportion equation
   175,894.50 : 379,158 = 379,158 : x
2. Step 2: Convert to fraction form
   175,894.50/379,158 = 379,158/x
3. Step 3: Cross multiply
   175,894.50x = 379,158 × 379,158
4. Step 4: Simplify right side
   175,894.50x = 143,760,788,964
5. Step 5: Solve for x
   x = 143,760,788,964/175,894.50
6. Step 6: Final answer
   x = 817,312.59