Finding the Third Proportional to 104,783.50 and 214,409

Step by Step Solution

1. Step 1: Write the proportion equation
   104,783.50 : 214,409 = 214,409 : x
2. Step 2: Convert to fraction form
   104,783.50/214,409 = 214,409/x
3. Step 3: Cross multiply
   104,783.50x = 214,409 × 214,409
4. Step 4: Simplify right side
   104,783.50x = 45,971,219,281
5. Step 5: Solve for x
   x = 45,971,219,281/104,783.50
6. Step 6: Final answer
   x = 438,725.75