Finding the Third Proportional to 138,303 and 213,595.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,303 : 213,595.50 = 213,595.50 : x
2. Step 2: Convert to fraction form
   138,303/213,595.50 = 213,595.50/x
3. Step 3: Cross multiply
   138,303x = 213,595.50 × 213,595.50
4. Step 4: Simplify right side
   138,303x = 45,623,037,620.25
5. Step 5: Solve for x
   x = 45,623,037,620.25/138,303
6. Step 6: Final answer
   x = 329,877.43