Finding the Third Proportional to 175,680 and 265,064

Step by Step Solution

1. Step 1: Write the proportion equation
   175,680 : 265,064 = 265,064 : x
2. Step 2: Convert to fraction form
   175,680/265,064 = 265,064/x
3. Step 3: Cross multiply
   175,680x = 265,064 × 265,064
4. Step 4: Simplify right side
   175,680x = 70,258,924,096
5. Step 5: Solve for x
   x = 70,258,924,096/175,680
6. Step 6: Final answer
   x = 399,925.57