Finding the Third Proportional to 185,751 and 407,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,751 : 407,101.50 = 407,101.50 : x
2. Step 2: Convert to fraction form
   185,751/407,101.50 = 407,101.50/x
3. Step 3: Cross multiply
   185,751x = 407,101.50 × 407,101.50
4. Step 4: Simplify right side
   185,751x = 165,731,631,302.25
5. Step 5: Solve for x
   x = 165,731,631,302.25/185,751
6. Step 6: Final answer
   x = 892,224.71