Finding the Third Proportional to 76,428.50 and 164,574

Step by Step Solution

1. Step 1: Write the proportion equation
   76,428.50 : 164,574 = 164,574 : x
2. Step 2: Convert to fraction form
   76,428.50/164,574 = 164,574/x
3. Step 3: Cross multiply
   76,428.50x = 164,574 × 164,574
4. Step 4: Simplify right side
   76,428.50x = 27,084,601,476
5. Step 5: Solve for x
   x = 27,084,601,476/76,428.50
6. Step 6: Final answer
   x = 354,378.29