Finding the Third Proportional to 75,263.50 and 164,520

Step by Step Solution

1. Step 1: Write the proportion equation
   75,263.50 : 164,520 = 164,520 : x
2. Step 2: Convert to fraction form
   75,263.50/164,520 = 164,520/x
3. Step 3: Cross multiply
   75,263.50x = 164,520 × 164,520
4. Step 4: Simplify right side
   75,263.50x = 27,066,830,400
5. Step 5: Solve for x
   x = 27,066,830,400/75,263.50
6. Step 6: Final answer
   x = 359,627.58