Finding the Third Proportional to 186,475.50 and 407,106

Step by Step Solution

1. Step 1: Write the proportion equation
   186,475.50 : 407,106 = 407,106 : x
2. Step 2: Convert to fraction form
   186,475.50/407,106 = 407,106/x
3. Step 3: Cross multiply
   186,475.50x = 407,106 × 407,106
4. Step 4: Simplify right side
   186,475.50x = 165,735,295,236
5. Step 5: Solve for x
   x = 165,735,295,236/186,475.50
6. Step 6: Final answer
   x = 888,777.86