Finding the Third Proportional to 106,437 and 177,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,437 : 177,388.50 = 177,388.50 : x
2. Step 2: Convert to fraction form
   106,437/177,388.50 = 177,388.50/x
3. Step 3: Cross multiply
   106,437x = 177,388.50 × 177,388.50
4. Step 4: Simplify right side
   106,437x = 31,466,679,932.25
5. Step 5: Solve for x
   x = 31,466,679,932.25/106,437
6. Step 6: Final answer
   x = 295,636.67