Finding the Third Proportional to 186,117 and 407,681.25

Step by Step Solution

1. Step 1: Write the proportion equation
   186,117 : 407,681.25 = 407,681.25 : x
2. Step 2: Convert to fraction form
   186,117/407,681.25 = 407,681.25/x
3. Step 3: Cross multiply
   186,117x = 407,681.25 × 407,681.25
4. Step 4: Simplify right side
   186,117x = 166,204,001,601.56
5. Step 5: Solve for x
   x = 166,204,001,601.56/186,117
6. Step 6: Final answer
   x = 893,008.17