Finding the Third Proportional to 75,151.50 and 164,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,151.50 : 164,152.50 = 164,152.50 : x
2. Step 2: Convert to fraction form
   75,151.50/164,152.50 = 164,152.50/x
3. Step 3: Cross multiply
   75,151.50x = 164,152.50 × 164,152.50
4. Step 4: Simplify right side
   75,151.50x = 26,946,043,256.25
5. Step 5: Solve for x
   x = 26,946,043,256.25/75,151.50
6. Step 6: Final answer
   x = 358,556.29