Finding the Third Proportional to 206,046 and 427,875.75

Step by Step Solution

1. Step 1: Write the proportion equation
   206,046 : 427,875.75 = 427,875.75 : x
2. Step 2: Convert to fraction form
   206,046/427,875.75 = 427,875.75/x
3. Step 3: Cross multiply
   206,046x = 427,875.75 × 427,875.75
4. Step 4: Simplify right side
   206,046x = 183,077,657,438.06
5. Step 5: Solve for x
   x = 183,077,657,438.06/206,046
6. Step 6: Final answer
   x = 888,528.08