Finding the Third Proportional to 138,537 and 214,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,537 : 214,933.50 = 214,933.50 : x
2. Step 2: Convert to fraction form
   138,537/214,933.50 = 214,933.50/x
3. Step 3: Cross multiply
   138,537x = 214,933.50 × 214,933.50
4. Step 4: Simplify right side
   138,537x = 46,196,409,422.25
5. Step 5: Solve for x
   x = 46,196,409,422.25/138,537
6. Step 6: Final answer
   x = 333,459.00