Finding the Third Proportional to 385,615 and 830,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   385,615 : 830,427.50 = 830,427.50 : x
2. Step 2: Convert to fraction form
   385,615/830,427.50 = 830,427.50/x
3. Step 3: Cross multiply
   385,615x = 830,427.50 × 830,427.50
4. Step 4: Simplify right side
   385,615x = 689,609,832,756.25
5. Step 5: Solve for x
   x = 689,609,832,756.25/385,615
6. Step 6: Final answer
   x = 1,788,337.68