Finding the Third Proportional to 165,893 and 251,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,893 : 251,911.50 = 251,911.50 : x
2. Step 2: Convert to fraction form
   165,893/251,911.50 = 251,911.50/x
3. Step 3: Cross multiply
   165,893x = 251,911.50 × 251,911.50
4. Step 4: Simplify right side
   165,893x = 63,459,403,832.25
5. Step 5: Solve for x
   x = 63,459,403,832.25/165,893
6. Step 6: Final answer
   x = 382,532.14